Chapter 4.1: Discrete Conditional Probability

Question 5, Page 150

A coin is tossed three times. Consider the following events

Which of the following pairs of these events are independent?

  1. A, B - Independent (Each toss is independent)
  2. A, D - Dependent (If the second toss is tails, then all three outcomes must be tails for D to occur)
  3. A, E - Dependent (If heads happens on the first toss, then it can’t occur again for E to happen)
  4. D, E - Dependent (mutually exclusive)

Which of the following triples of these events are independent?

  1. A, B, C - Independent (Each toss is independent)
  2. A, B, D - Dependent (mutually exclusive)
  3. C, D, E - Dependent (mutually exclusive)